Effective Channel Length Calculator

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✖PN Junction Length is defined as the total length of the junction from p-side to n-side in a semiconductor.ⓘ PN Junction Length [L_pn]			+10% -10%
✖Depletion Region Width in a typical Si diode ranges from a fraction of a micrometer to tens of micrometers depending on device geometry, doping profile, and external bias.ⓘ Depletion Region Width [L_d]			+10% -10%

✖Effective Channel Length is defined as the path that links the charge carriers between the drain and the source.ⓘ Effective Channel Length [L_eff]

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Formula

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Effective Channel Length

Formula

`"L"_{"eff"} = "L"_{"pn"}-"L"_{"d"}`

Example

`"7.99mm"="19mm"-"11.01mm"`

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Effective Channel Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Effective Channel Length = PN Junction Length-Depletion Region Width
L_eff = L_pn-L_d
This formula uses 3 Variables

Variables Used

Effective Channel Length - (Measured in Meter) - Effective Channel Length is defined as the path that links the charge carriers between the drain and the source.
PN Junction Length - (Measured in Meter) - PN Junction Length is defined as the total length of the junction from p-side to n-side in a semiconductor.
Depletion Region Width - (Measured in Meter) - Depletion Region Width in a typical Si diode ranges from a fraction of a micrometer to tens of micrometers depending on device geometry, doping profile, and external bias.

STEP 1: Convert Input(s) to Base Unit

PN Junction Length: 19 Millimeter --> 0.019 Meter (Check conversion here)
Depletion Region Width: 11.01 Millimeter --> 0.01101 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_eff = L_pn-L_d --> 0.019-0.01101

Evaluating ... ...

L_eff = 0.00799

STEP 3: Convert Result to Output's Unit

0.00799 Meter -->7.99 Millimeter (Check conversion here)

FINAL ANSWER

7.99 Millimeter <-- Effective Channel Length

(Calculation completed in 00.004 seconds)

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Created by Shobhit Dimri

Bipin Tripathi Kumaon Institute of Technology (BTKIT), Dwarahat

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< 15 CMOS Circuit Characteristics Calculators

Effective Capacitance in CMOS

Go Effective Capacitance in CMOS = Duty Cycle*(Off Current*(10^(Base Collector Voltage)))/(Gates on Critical Path*[BoltZ]*Base Collector Voltage)

Permittivity of Oxide Layer

Go Permittivity of Oxide Layer = Oxide Layer Thickness*Input Gate Capacitance/(Gate Width*Length of Gate)

Oxide Layer Thickness

Go Oxide Layer Thickness = Permittivity of Oxide Layer*Gate Width*Length of Gate/Input Gate Capacitance

Width of Gate

Go Gate Width = Input Gate Capacitance/(Capacitance of Gate Oxide Layer*Length of Gate)

Sidewall Perimeter of Source Diffusion

Go Sidewall Perimeter of Source Diffusion = (2*Transition Width)+(2*Length of Source)

Critical Electric Field

Go Critical Electric Field = (2*Velocity Saturation)/Mobility of Electron

Transition Width of CMOS

Go Transition Width = MOS Gate Overlap Capacitance/MOS Gate Capacitance

Effective Channel Length

Go Effective Channel Length = PN Junction Length-Depletion Region Width

Depletion Region Width

Go Depletion Region Width = PN Junction Length-Effective Channel Length

PN Junction Length

Go PN Junction Length = Depletion Region Width+Effective Channel Length

Voltage at Minimum EDP

Go Voltage at Minimum EDP = (3*Threshold Voltage)/(3-Activity Factor)

CMOS Critical Voltage

Go Critical Voltage in CMOS = Critical Electric Field*Mean Free Path

CMOS Mean Free Path

Go Mean Free Path = Critical Voltage in CMOS/Critical Electric Field

Width of Source Diffusion

Go Transition Width = Area of Source Diffusion/Length of Source

Area of Source Diffusion

Go Area of Source Diffusion = Length of Source*Transition Width

Effective Channel Length Formula

Effective Channel Length = PN Junction Length-Depletion Region Width
L_eff = L_pn-L_d

What is the significance of channel length?

Ideally, Ids is independent of Vds for a transistor in saturation, making
the transistor a perfect current source. the p–n junction between the drain and body forms a depletion region with a width Ld that increases with Vdb, thus the depletion region effectively shortens the channel length.

How to Calculate Effective Channel Length?

Effective Channel Length calculator uses Effective Channel Length = PN Junction Length-Depletion Region Width to calculate the Effective Channel Length, The Effective Channel Length formula is defined as is the path that links the charge carriers between the drain and the source. If you exclude the physical overlapping in the structure, gate length and channel length would be very close. Effective Channel Length is denoted by L_eff symbol.

How to calculate Effective Channel Length using this online calculator? To use this online calculator for Effective Channel Length, enter PN Junction Length (L_pn) & Depletion Region Width (L_d) and hit the calculate button. Here is how the Effective Channel Length calculation can be explained with given input values -> 1.1E+7 = 1.9E-05-1.101E-05.

FAQ

What is Effective Channel Length?

The Effective Channel Length formula is defined as is the path that links the charge carriers between the drain and the source. If you exclude the physical overlapping in the structure, gate length and channel length would be very close and is represented as L_eff = L_pn-L_d or Effective Channel Length = PN Junction Length-Depletion Region Width. PN Junction Length is defined as the total length of the junction from p-side to n-side in a semiconductor & Depletion Region Width in a typical Si diode ranges from a fraction of a micrometer to tens of micrometers depending on device geometry, doping profile, and external bias.

How to calculate Effective Channel Length?

The Effective Channel Length formula is defined as is the path that links the charge carriers between the drain and the source. If you exclude the physical overlapping in the structure, gate length and channel length would be very close is calculated using Effective Channel Length = PN Junction Length-Depletion Region Width. To calculate Effective Channel Length, you need PN Junction Length (L_pn) & Depletion Region Width (L_d). With our tool, you need to enter the respective value for PN Junction Length & Depletion Region Width and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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